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The leaderboard of Large Language Models (LLMs) in mathematical tasks has been continuously updated. However, the majority of evaluations focus solely on the final results, neglecting the quality of the intermediate steps. This oversight…

Computation and Language · Computer Science 2025-01-15 Shijie Xia , Xuefeng Li , Yixin Liu , Tongshuang Wu , Pengfei Liu

Test-time scaling, which leverages additional computation during inference to improve model accuracy, has enabled a new class of Large Language Models (LLMs) that are able to reason through complex problems by understanding the goal,…

Computation and Language · Computer Science 2025-11-25 Shaltiel Shmidman , Asher Fredman , Oleg Sudakov , Meriem Bendris

Reasoning is a fundamental capability for solving complex multi-step problems, particularly in visual contexts where sequential step-wise understanding is essential. Existing approaches lack a comprehensive framework for evaluating visual…

Large Language Models (LLMs) are increasingly adopted as evaluators, offering a scalable alternative to human annotation. However, existing supervised fine-tuning (SFT) approaches often fall short in domains that demand complex reasoning.…

Computation and Language · Computer Science 2025-11-04 Nuo Chen , Zhiyuan Hu , Qingyun Zou , Jiaying Wu , Qian Wang , Bryan Hooi , Bingsheng He

We present that hierarchical LLM reasoning via scaling thought templates can effectively optimize the reasoning search space and outperform the mathematical reasoning capabilities of powerful LLMs like OpenAI o1-preview and DeepSeek V3. We…

Computation and Language · Computer Science 2025-03-12 Ling Yang , Zhaochen Yu , Bin Cui , Mengdi Wang

Recently, test-time scaling has garnered significant attention from the research community, largely due to the substantial advancements of the o1 model released by OpenAI. By allocating more computational resources during the inference…

Recent advances in test-time scaling of large language models (LLMs), exemplified by DeepSeek-R1 and OpenAI's o1, show that extending the chain of thought during inference can significantly improve general reasoning performance. However,…

Computation and Language · Computer Science 2025-11-11 Yinghao Hu , Yaoyao Yu , Leilei Gan , Bin Wei , Kun Kuang , Fei Wu

Proving mathematical theorems using computer-verifiable formal languages like Lean significantly impacts mathematical reasoning. One approach to formal theorem proving involves generating complete proofs using Large Language Models (LLMs)…

Formal Languages and Automata Theory · Computer Science 2024-10-07 Ruida Wang , Jipeng Zhang , Yizhen Jia , Rui Pan , Shizhe Diao , Renjie Pi , Tong Zhang

Large Language Models (LLMs) have demonstrated remarkable capabilities in complex tasks. Recent advancements in Large Reasoning Models (LRMs), such as OpenAI o1 and DeepSeek-R1, have further improved performance in System-2 reasoning…

Computation and Language · Computer Science 2025-08-25 Yang Sui , Yu-Neng Chuang , Guanchu Wang , Jiamu Zhang , Tianyi Zhang , Jiayi Yuan , Hongyi Liu , Andrew Wen , Shaochen Zhong , Na Zou , Hanjie Chen , Xia Hu

Thinking Large Language Models (LLMs) generate explicit intermediate reasoning traces before final answers, potentially improving transparency, interpretability, and solution accuracy for code generation. However, the quality of these…

Artificial Intelligence · Computer Science 2025-11-11 Haoran Xue , Gias Uddin , Song Wang

Robotic path planning problems are often NP-hard, and practical solutions typically rely on approximation algorithms with provable performance guarantees for general cases. While designing such algorithms is challenging, formally proving…

Robotics · Computer Science 2026-03-23 Zhengbang Yang , Md. Tasin Tazwar , Minghan Wei , Zhuangdi Zhu

Large Language Models (LLMs) hold significant promise for mathematics education, yet they often struggle with complex mathematical reasoning. While Retrieval-Augmented Generation (RAG) mitigates these issues by grounding LLMs in external…

Computation and Language · Computer Science 2025-12-02 Shiting Chen , Zijian Zhao , Jinsong Chen

The reliability of large language models (LLMs) during test-time scaling is often assessed with \emph{external verifiers} or \emph{reward models} that distinguish correct reasoning from flawed logic. Prior work generally assumes that…

Recently, Large Reasoning Models (LRMs) have gradually become a research hotspot due to their outstanding performance in handling complex tasks. Among them, DeepSeek R1 has garnered significant attention for its exceptional performance and…

Artificial Intelligence · Computer Science 2025-08-05 Linan Yue , Yichao Du , Yizhi Wang , Weibo Gao , Fangzhou Yao , Li Wang , Ye Liu , Ziyu Xu , Qi Liu , Shimin Di , Min-Ling Zhang

Large language models (LLMs) have significantly improved their reasoning capabilities; however, they still struggle with complex multi-step mathematical problem-solving due to error propagation, lack of self-correction, and limited…

Machine Learning · Computer Science 2025-03-10 Joykirat Singh , Tanmoy Chakraborty , Akshay Nambi

Large Language Models (LLMs) have shown remarkable capabilities in reasoning, exemplified by the success of OpenAI-o1 and DeepSeek-R1. However, integrating reasoning with external search processes remains challenging, especially for complex…

How far are Large Language Models (LLMs) in performing deep relational reasoning? In this paper, we evaluate and compare the reasoning capabilities of three cutting-edge LLMs, namely, DeepSeek-R1, DeepSeek-V3 and GPT-4o, through a suite of…

Artificial Intelligence · Computer Science 2025-07-01 Chi Chiu So , Yueyue Sun , Jun-Min Wang , Siu Pang Yung , Anthony Wai Keung Loh , Chun Pong Chau

Formal verification via theorem proving enables the expressive specification and rigorous proof of software correctness, but it is difficult to scale due to the significant manual effort and expertise required. While Large Language Models…

Software Engineering · Computer Science 2025-10-30 Minghai Lu , Zhe Zhou , Danning Xie , Songlin Jia , Benjamin Delaware , Tianyi Zhang

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

Large Language Models (LLMs) are increasingly applied to complex tasks that require extended reasoning. In such settings, models often benefit from diverse chains-of-thought to arrive at multiple candidate solutions. This requires two…

Machine Learning · Computer Science 2025-10-08 Xueyan Li , Guinan Su , Mrinmaya Sachan , Jonas Geiping
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